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Finding the Fourth Proportional to 5,368.64, 8,054.08 and 1,670.72

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Solution

The fourth proportional to 5,368.64, 8,054.08 and 1,670.72 is: 2,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.64 : 8,054.08 = 1,670.72 : x
  2. Step 2: Convert to fraction form
    5,368.64/8,054.08 = 1,670.72/x
  3. Step 3: Cross multiply
    5,368.64x = 8,054.08 × 1,670.72
  4. Step 4: Simplify right side
    5,368.64x = 13,456,112.54
  5. Step 5: Solve for x
    x = 13,456,112.54/5,368.64
  6. Step 6: Final answer
    x = 2,506.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.